Abstract
Prognostic models are increasingly common in the biomedical literature. These models
are frequently evaluated with respect to their ability to discriminate between those
with and without an outcome. The area under the receiver-operating curve (AROC) is
often used to assess discrimination. In this study, we introduce a bootstrap method,
and, using Monte Carlo simulation, we compare three different bootstrap approaches
with four commonly used methods in their ability to accurately estimate 95% confidence
intervals (CIs) around the AROC for a simple prognostic model. We also evaluated the
power of a bootstrap method and the commonly used trapezoid rule to compare different
prognostic models. We show that several good methods exist for calculating 95% CIs
of AROC, but the maximum likelihood estimation method should not be used with small
sample sizes. We further show that for our simple prognostic model a bootstrap z-statistic
approach is preferred over the trapezoidal method when comparing the AROCs of two
related models.
Keywords
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Article info
Publication history
Accepted:
November 15,
2001
Received in revised form:
August 22,
2001
Received:
October 26,
2000
Identification
Copyright
© 2002 Elsevier Science Inc. Published by Elsevier Inc. All rights reserved.